Meditation for a Theorem Prover Reasoning and Consciousness - PowerPoint PPT Presentation

Meditation for a Theorem Prover

Reasoning and Consciousness 
 Teaching a Theorem Prover to let its Mind Wander Ulrich Furbach Claudia Schon Univ. Koblenz - DFG Project ‚Cognitive Reasoning‘

Reasoning and Consciousness 
 Teaching a Theorem Prover to let its Mind Wander Ulrich Furbach Claudia Schon Univ. Koblenz - DFG Project ‚Cognitive Reasoning‘

Reasoning and Consciousness 
 Teaching a Theorem Prover to let its Mind Wander Ulrich Furbach Claudia Schon Univ. Koblenz - DFG Project ‚Cognitive Reasoning‘

My body cast a shadow over the grass. What was the CAUSE of this? a) The sun was rising. b) The grass was cut. COPA Benchmarks

My body cast a shadow over the grass. What was the CAUSE of this? a) The sun was rising. b) The grass was cut. COPA Benchmarks Boxer

My body cast a shadow over the grass. What was the CAUSE of this? a) The sun was rising. b) The grass was cut. COPA Benchmarks Boxer ∃ A, B (( n 1 grass ( A ) ∧ n 1 sun ( B )) ∧ ∃ C, D, E (( r 1 over ( C, A ) ∧ ( r 1 Theme ( C, D ) ∧ ( r 1 Actor ( C, E ) ∧ ( v 1 cast ( C ) ∧ ( n 1 shadow ( D ) ∧ ( n 1 body ( E ) ∧ ( r 1 of ( E, D ) ∧ n 1 person ( D )))))))) ∧ ∃ F (( r 1 Actor ( F, B ) ∧ v 1 rise ( F )) ∧ ∃ G ( r 1 Theme ( G, A ) ∧ v 1 cut ( G )))))

ç √ ç √ ç √ ç √ ç ç ç ç ç √ FO-representation √ Background √ √ √ ç ç √ of COPA problem: ç √ Knowledge: √ ç √ ∃ A, B (( n 1 grass ( A ) ∧ n 1 sun ( B )) ∧ ∃ C, D, E (( r 1 over ( C, A ) ∧ ( r 1 Theme ( C, D ) ∧ ( r 1 Actor ( C, E ) ∧ ( v 1 cast ( C ) ∧ ( n 1 shadow ( D ) ∧ v 1 cast ( D ) ( n 1 body ( E ) ∧ ( r 1 of ( E, D ) ∧ n 1 person ( D )))))))) ∧ OpenCyc ∃ F (( r 1 Actor ( F, B ) ∧ v 1 rise ( F )) ∧ ∃ G ( r 1 Theme ( G, A ) ∧ v 1 cut ( G ))))) project ( X )

Bridging Formulae ∀ X ( v 1 cast ( X ) ↔ project ( X )) WordNet FO-representation Background of COPA problem: Knowledge: ∃ A, B (( n 1 grass ( A ) ∧ n 1 sun ( B )) ∧ ∃ C, D, E (( r 1 over ( C, A ) ∧ ( r 1 Theme ( C, D ) ∧ ( r 1 Actor ( C, E ) ∧ ( v 1 cast ( C ) ∧ ( n 1 shadow ( D ) ∧ v 1 cast ( D ) ( n 1 body ( E ) ∧ ( r 1 of ( E, D ) ∧ n 1 person ( D )))))))) ∧ OpenCyc ∃ F (( r 1 Actor ( F, B ) ∧ v 1 rise ( F )) ∧ ∃ G ( r 1 Theme ( G, A ) ∧ v 1 cut ( G ))))) project ( X )

Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) q ( a, x )) r ( g ( a )) branches can be considered no backtracking isolated - equality handling!

Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) q ( a, x )) r ( g ( a )) branches can be considered no backtracking isolated - equality handling!

Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) branches can be considered no backtracking isolated - equality handling!

Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) p ( x, y ) q ( f ( x, b ) branches can be considered no backtracking isolated - equality handling!

Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) branches can be considered no backtracking isolated - equality handling!

Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) π = { x ← a } branches can be considered no backtracking isolated - equality handling!

Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) π = { x ← a } p ( a, y ) q ( f ( a ) , b ) branches can be considered no backtracking isolated - equality handling!

Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) π = { x ← a } p ( a, y ) q ( f ( a ) , b ) → dom ( a ) dom ( a ) → dom ( f ( a )) branches can be considered no backtracking isolated - equality handling!

Hypertableau 1st order dom ( a ) Cade 07 dom ( b ) . . . p ( b, f ( a )) p ( z, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , z ) σ = { z ← b } q ( a, x )) p ( b, f ( a )) ∧ r ( g ( a )) → p ( x, y ) ∨ q (( f ( x ) , b ) r ( g ( a )) π = { x ← a } p ( a, y ) q ( f ( a ) , b ) → dom ( a ) dom ( a ) → dom ( f ( a )) branches can be considered no backtracking isolated - equality handling!

My body cast a shadow over the grass. What was the CAUSE of this? a) The sun was rising. b) The grass was cut. What is `closer´ to a logical consequence? a) or b)? ML a)! Hyper Tableau

Chinese Room - John Searl Thomas Metzinger Postbiotic consciousness


 Bernhard Baars • Global Workspace Theorie • Theatre metapher 



 Bernhard Baars • Global Workspace Theorie • Theatre metapher 
 • Consciousness is a gateway to 
 vast domains of knowledge 
 and control • we can create access to any part 
 of the brain using consciousness


 Bernhard Baars • Global Workspace Theorie • Theatre metapher 
 • Consciousness is a gateway to 
 vast domains of knowledge 
 and control • we can create access to any part 
 of the brain using consciousness „Consciousness may be considered as the gateway to these unconscious sources of knowledge.“


 Bernhard Baars • Global Workspace Theorie • Theatre metapher 
 • Consciousness is a gateway to 
 vast domains of knowledge 
 and control • we can create access to any part 
 of the brain using consciousness „Consciousness may be considered as the gateway to these unconscious sources of knowledge.“ „This is ostensibly based on GWT, but the idea is easily understood without the psycho-babble. The work is very suitable for the AITP workshop.“

From: https://www.slideshare.net/alfredoarmella/global-workspace-theory-tutorial

FOL Formula

Selection process: WordNet ConceptNet FOL Formula Cyc SInE

Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge

Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge Hyper

Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge Hyper

Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge Hyper Ground Instances

Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet FOL Formula Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper Hyper’s current thoughts Ground Instances

Selection process: WordNet ConceptNet Cyc SInE Background Knowledge Hyper … Hyper’s current thoughts Ground Instances

First Experiments

First Experiments