Home > Interactive Theorem Proving Software: Hol Theorem Prover Family, Isabelle, Lcf, Epigram, Hol Lighthol Theorem Prover Family, Isabelle, Lcf, Epigram, Hol Light, Coq, Agda, Interactive The(English)
Interactive Theorem Proving Software: Hol Theorem Prover Family, Isabelle, Lcf, Epigram, Hol Lighthol Theorem Prover Family, Isabelle, Lcf, Epigram, Hol Light, Coq, Agda, Interactive The(English)

Interactive Theorem Proving Software: Hol Theorem Prover Family, Isabelle, Lcf, Epigram, Hol Lighthol Theorem Prover Family, Isabelle, Lcf, Epigram, Hol Light, Coq, Agda, Interactive The(English)

          
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About the Book

Chapters: Hol Theorem Prover Family, Isabelle, Lcf, Epigram, Hol Light, Coq, Agda, Interactive Theorem Proving, Prototype Verification System, Matita, Phox, Jape. Source: Wikipedia. Pages: 39. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: The Isabelle theorem prover is an interactive theorem proving framework, a successor of the Higher Order Logic (HOL) theorem prover. It is an LCF-style theorem prover (written in Standard ML), so it is based on a small logical core guaranteeing logical correctness. Isabelle is generic: it provides a meta-logic (a weak type theory), which is used to encode object logics like First-order logic (FOL), Higher-order logic (HOL) or ZermeloFraenkel set theory (ZFC). Isabelle's main proof method is a higher-order version of resolution, based on higher-order unification. Though interactive, Isabelle also features efficient automatic reasoning tools, such as a term rewriting engine and a tableaux prover, as well as various decision procedures. Isabelle has been used to formalize numerous theorems from mathematics and computer science, like Godel's completeness theorem, Godel's theorem about the consistency of the axiom of choice, the prime number theorem, correctness of security protocols, and properties of programming language semantics. The Isabelle theorem prover is free software, released under the revised BSD license. Isabelle's proof language Isar aims to support proofs that are both human-readable and machine-checkable. For example, the proof that the square root of two is not rational can be written as follows. sqrt2_not_rational: m n:: nat n_nonzero: sqrt_rat: lowest_terms: .. n_nonzero sqrt_rat simp (auto simp add: power2_eq_square) simp simp eq: .. .. two_is_prime dvd_m: (rule prime_dvd_power_two) k .. eq (auto simp add: power2_eq_square mult_ac) simp...More: http: //booksllc.net/?id=16188


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Product Details
  • ISBN-13: 9781157036319
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 40
  • Series Title: English
  • Sub Title: Hol Theorem Prover Family, Isabelle, Lcf, Epigram, Hol Lighthol Theorem Prover Family, Isabelle, Lcf, Epigram, Hol Light, Coq, Agda, Interactive The
  • Width: 229 mm
  • ISBN-10: 1157036317
  • Publisher Date: 15 Sep 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Spine Width: 3 mm
  • Weight: 73 gr


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