Experimenting with Isabelle in ZF set theory:
Abstract: "The theorem prover Isabelle bas been used to axiomatize ZF set theory with natural deduction and to prove a number of theorems concerning functions. In particular, the axioms and inference rules of four theories have been derived in the form of theorems of set theory. The four theori...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
1989
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| Series: | Computer Laboratory <Cambridge>: Technical report
177 |
| Subjects: | |
| Summary: | Abstract: "The theorem prover Isabelle bas been used to axiomatize ZF set theory with natural deduction and to prove a number of theorems concerning functions. In particular, the axioms and inference rules of four theories have been derived in the form of theorems of set theory. The four theories are: 1) [lambda] [subscript BN], a form of typed lambda calculus with equality, 2) Q₀, a form of simple type theory, 3) an intuitionistic first order theory with propositions interpreted as the type of their proofs, 4) PP [lambda], the underlying theory of LCF. Most of the theorems have been derived using backward proofs, with a small amount of automation." |
| Physical Description: | 40 S. |
Staff View
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Record in the Search Index
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| indexdate | 2024-07-09T17:52:02Z |
| institution | BVB |
| language | English |
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| oclc_num | 20798014 |
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| publishDate | 1989 |
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| series | Computer Laboratory <Cambridge>: Technical report |
| series2 | Computer Laboratory <Cambridge>: Technical report |
| spelling | Noel, P. A. Verfasser aut Experimenting with Isabelle in ZF set theory by P. A. J. Noel Cambridge 1989 40 S. txt rdacontent n rdamedia nc rdacarrier Computer Laboratory <Cambridge>: Technical report 177 Abstract: "The theorem prover Isabelle bas been used to axiomatize ZF set theory with natural deduction and to prove a number of theorems concerning functions. In particular, the axioms and inference rules of four theories have been derived in the form of theorems of set theory. The four theories are: 1) [lambda] [subscript BN], a form of typed lambda calculus with equality, 2) Q₀, a form of simple type theory, 3) an intuitionistic first order theory with propositions interpreted as the type of their proofs, 4) PP [lambda], the underlying theory of LCF. Most of the theorems have been derived using backward proofs, with a small amount of automation." Information theory sigle Mathematics sigle Mathematik Automatic theorem proving Set theory Computer Laboratory <Cambridge>: Technical report 177 (DE-604)BV004055605 177 |
| spellingShingle | Noel, P. A. Experimenting with Isabelle in ZF set theory Computer Laboratory <Cambridge>: Technical report Information theory sigle Mathematics sigle Mathematik Automatic theorem proving Set theory |
| title | Experimenting with Isabelle in ZF set theory |
| title_auth | Experimenting with Isabelle in ZF set theory |
| title_exact_search | Experimenting with Isabelle in ZF set theory |
| title_full | Experimenting with Isabelle in ZF set theory by P. A. J. Noel |
| title_fullStr | Experimenting with Isabelle in ZF set theory by P. A. J. Noel |
| title_full_unstemmed | Experimenting with Isabelle in ZF set theory by P. A. J. Noel |
| title_short | Experimenting with Isabelle in ZF set theory |
| title_sort | experimenting with isabelle in zf set theory |
| topic | Information theory sigle Mathematics sigle Mathematik Automatic theorem proving Set theory |
| topic_facet | Information theory Mathematics Mathematik Automatic theorem proving Set theory |
| volume_link | (DE-604)BV004055605 |
| work_keys_str_mv | AT noelpa experimentingwithisabelleinzfsettheory |