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17 (0,088s)

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Skolemization for Substructural Logics

The usual Skolemization procedure, which removes strong quantifiers by introducing new function symbols, is in general unsound for first-order substructural witnessing conditions admit a " Skolemization procedure where a strong quan...

BA - Obecná matematika

  • 2015
  • D
  • Link
Result

Skolemization and Herbrand theorems for lattice-valued logics

Skolemization and Herbrand theorems are obtained for first-order logics based on algebras with a complete lattice reduct and operations that are monotone or antitone consequence to satisfiability. Skolemization and Herbrand theorems...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2019
  • Jimp
  • Link
Result

Löwenheim-Skolem theorems for non-classical first-order algebraizable logics

. Then we obtain (downward and upward) Löwenheim-Skolem theorems for these non-classical...

BA - Obecná matematika

  • 2016
  • Jx
  • Link
Result

Herbrand Theorems for Substructural Logics

Herbrand and Skolemization theorems are obtained for a broad family of first-order substructural logics. These logics typically lack equivalent prenex forms, a deduction theorem, and reductions of semantic consequence to satisfiability. The ...

BA - Obecná matematika

  • 2013
  • D
  • Link
Result

Reuse of Introduced Symbols in Automatic Theorem Provers

Automatic theorem provers may introduce fresh function or predicate symbols for various reasons. Sometimes, such symbols can be reused. We describe a simple form of symbol reuse in the first-order system Vampire, investigate its practical effect, and...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2022
  • D
  • Link
Result

Reuse of Introduced Symbols in Automatic Theorem Provers

Automatic theorem provers may introduce fresh function or predicate symbols for various reasons. Sometimes, such symbols can be reused. We describe a simple form of symbol reuse in the first-order system Vampire, investigate its practical effect, and...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2022
  • D
  • Link
Result

Resolution Based Reasoning in Description Logic

The article presents refutational resolution theorem proving system for Description Logic (DL) based on general (non-clausal) resolution rule. There is also presented unification algorithm handling existentiality without the need of skolemization...

JD - Využití počítačů, robotika a její aplikace

  • 2006
  • A
Result

Resolution Based Reasoning in Description Logic

The article presents refutational resolution theorem proving system for Description Logic (DL) based on general (non-clausal) resolution rule. There is also presented unification algorithm handling existentiality without the need of skolemization...

JD - Využití počítačů, robotika a její aplikace

  • 2006
  • D
Result

RESOLUTION PRINCIPLE IN FUZZY PREDICATE LOGIC

The article presents refutational resolution theorem proving system for the Fuzzy Predicate Logic of First-Order (FPL) based on the general (non-clausal) resolution rule. There is also presented an unification algorithm handling existentiality withou...

BA - Obecná matematika

  • 2005
  • D
Result

Sizes and filtrations in accessible categories

Accessible categories admit a purely category-theoretic replacement for cardinality: the internal size. We examine set-theoretic problems related to internal sizes and prove several Löwenheim–Skolem theorems for accessible categories. For ex...

Pure mathematics

  • 2020
  • Jimp
  • Link
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