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Equational Logic

(Up) | Wikipedia: Equational logic | See also: Logic, Term Rewriting, Universal Algebra


Web resources

Equational Logic -- from Wolfram MathWorld

Equational logic - Wikipedia

Algebraic theory - Wikipedia

Give an equational proof \$ \vdash (\forall x)(A \rightarrow B) \equiv ((\exists x) A) \rightarrow B\$

Can I deduce one set distributive law from the other?

Robbins algebra - Wikipedia

Formal verification of simple equational proofs (as in Universal Algebra...)?

Papers

Equational Logic and Abstract Algebra ★★★ 💭

Equational logic, unification and term rewriting ★★

Field Guide to Equational Logic ★★ 💭

Equational Logic (Course Notes, USC, Spring 2017) ★★ 💭

Euclid's Elements as an Equational Theory

Meadows and the Equational Specification of Division

Survey of the Equational Programming Project💭

Programming with Equations💭

Second-Order Equational Logic

(in Theorem Proving) Robbins Algebras are Boolean (online @ www.cs.unm.edu) ★ 💭

(in Type Theory) Observational Equality, Now! (online @ strictlypositive.org) 💭

Books

Equational Logic as a Programming Language (online @ archive.org) (borrow @ archive.org) ★ 💭

Canonical Equational Proofs (borrow with print disabilities @ archive.org) 💭

(in Logic) Handbook of logic in artificial intelligence and logic programming, Vol 1 (borrow with print disabilities @ archive.org) ★ 💭