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{{about|automated theorem proving|the complexity class named EQP|EQP (complexity)}} <!-- End of AfD message, feel free to edit beyond this point --> ...

In [[automated theorem proving]], '''PhoX''' is a [[proof assistant]] based on [[higher-order logi [[Category:Free theorem provers]] ...

...integrated with support tools and an [[Automated theorem proving|automated theorem prover]], developed at the Computer Science Laboratory of [[SRI Internation [[Category:Free theorem provers]] ...

'''E''' is a high-performance [[Automated theorem proving|theorem prover]] for full [[first-order logic]] with equality.<ref name=brainiac>{{ | title=E – A Brainiac Theorem Prover ...

{{Short description|Programming language and theorem prover}} ...guage and implementation of ACL2 are written in [[Common Lisp]]. ACL2 is [[free and open-source software]]. ...

...erbrand–Ribet theorem|Ramification group#Herbrand's theorem{{!}}Herbrand's theorem on ramification groups}} ...ost [[automatic theorem prover]]s. Although Herbrand originally proved his theorem for arbitrary formulas of first-order logic,<ref>Samuel R. Buss: "Handbook ...

...istant]] for classical [[higher-order logic]]. It is a member of the [[HOL theorem prover family]]. Compared with other HOL systems, HOL Light is intended to | abstraction of equality (<math>x</math> must not be free in <math>\Gamma</math>) ...

==Theorem provers and proof assistants== {{main|List of theorem provers|List of proof assistants}} ...

{{Short description|Automated theorem prover}} {{About|the automated theorem prover|the infrastructure automation tool|Otter (software)}} ...

| genre = [[Automated theorem proving]] ...t is released under the terms of the [[GNU General Public License]] and is free.<ref name="Paradox-home-alone"/> ...

| name = Vampire Theorem Prover | genre = [[Automated theorem proving]] ...

...= Robert M. | doi-access = }}</ref> [[deductive database]], or [[automated theorem prover]]. ...<math>t</math>. Here is a list of retrieval conditions frequently used in provers: ...

Various unifiers may produce expressions with varying numbers of [[free variable]]s. Some possible unifying expressions are [[substitution instanc ...eorem of a D-complete system, condensed detachment can prove not only that theorem but also its substitution instance <math>( p \rightarrow p ) \rightarrow ( ...

{{for|the academic conference|Interactive Theorem Proving (conference)}} ...ce]] and [[mathematical logic]], a '''proof assistant''' or '''interactive theorem prover''' is a software tool to assist with the development of [[formal pro ...

{{Short description|Interactive theorem proving systems}} | website = {{url|hol-theorem-prover.org}} ...

{{Short description|Higher-order logic (HOL) automated theorem prover}} ...ing language)|Scala]]. As a [[Logic for Computable Functions]] (LCF) style theorem prover, it is based on a small logical core (kernel) to increase the trustw ...

[[Category:Free theorem provers]] [[Category:Free software programmed in Java (programming language)]] ...

{{Short description|Theorem in computational complexity theory}} ...theory]], the '''PCP theorem''' (also known as the '''PCP characterization theorem''') states that every [[decision problem]] in the [[NP (complexity)|NP]] [[ ...

...theorem proving|automated theorem prover]] and, in ESC/Java, the Simplify theorem prover was used. ...s including the ability to reason with multiple [[Automated theorem prover|theorem prover]]s and integration with [[Eclipse (software)|Eclipse]]. ...

...reasoning]] and [[mathematical logic]] dealing with proving [[mathematical theorem]]s by [[computer program]]s. Automated reasoning over [[mathematical proof] ...of first-order formulas (and hence the [[Validity (logic)|validity]] of a theorem) to be reduced to (potentially infinitely many) propositional satisfiabilit ...