First order logic tool—Mamo.dev
https://mamo.dev/first-order-logic-toolA first order formula can be defined inductively as follows: p(t1, …, tn) is a formula if t1, …, tn are terms and p is a predicate of arity n. A formula of this kind is called atomic; (F ∧ G), (F ∨ G) , (F → G), (F ← G) , (F ↔ G) are formulas if both F and G are formulas; (∀x F), (∃x F) are formulas if x is a variable and F is ...
Tree Proof Generator - umsu.de
https://www.umsu.de/trees17.01.2022 · Besides classical propositional logic and first-order predicate logic (with functions and identity), a few normal modal logics are supported. If you enter a modal formula, you will see a choice of how the accessibility relation should be constrained. For modal predicate logic, constant domains and rigid terms are assumed. Source code
First order logic tool—Mamo.dev
mamo.dev › first-order-logic-toolA first order formula can be defined inductively as follows: p(t1, …, tn) is a formula if t1, …, tn are terms and p is a predicate of arity n. A formula of this kind is called atomic; (F ∧ G), (F ∨ G) , (F → G), (F ← G) , (F ↔ G) are formulas if both F and G are formulas; (∀x F), (∃x F) are formulas if x is a variable and F is ...
Tree Proof Generator
www.umsu.de › treesJan 17, 2022 · Besides classical propositional logic and first-order predicate logic (with functions and identity), a few normal modal logics are supported. If you enter a modal formula, you will see a choice of how the accessibility relation should be constrained. For modal predicate logic, constant domains and rigid terms are assumed. Source code
Logitext
logitext.mit.eduLogitext Logitext is an educational proof assistant for first-order classical logic using the sequent calculus, in the same tradition as Jape, Pandora, Panda and Yoda. It is intended to assist students who are learning Gentzen trees as a way of structuring derivations of logical statements.
Compilers - First-order logic
crypto.stanford.edu › ~blynn › compilerThis important result suggests a strategy to prove any first-order formula f . As a preprocessing step, we prepend explicit universal quantifiers for each free variable: generalize fo = foldr (Qua Forall) fo $ fv fo. Then: Negate f because validity and satisfiability are dual: the formula f is valid if and only if ¬ f is unsatisfiable ...
First-order logic - Wikipedia
https://en.wikipedia.org/wiki/First-order_logic• "Predicate calculus", Encyclopedia of Mathematics, EMS Press, 2001 [1994]• Stanford Encyclopedia of Philosophy: Shapiro, Stewart; "Classical Logic". Covers syntax, model theory, and metatheory for first-order logic in the natural deduction style.• Magnus, P. D.; forall x: an introduction to formal logic. Covers formal semantics and proof theory for first-order logic.