equational theory वाक्य
उदाहरण वाक्य
मोबाइल
- The laws of Boolean algebra therefore constitute the equational theory of the Boolean prototype.
- The equational theory of an algebra is the set of all equations satisfied by the algebra.
- An equational theory in a given language consists of equations between terms built up from variables using symbols of that language.
- It follows that even among the finite Heyting algebras there exist infinitely many that are subdirectly irreducible, no two of which have the same equational theory.
- Each of these three properties can be axiomatized with finitely many equations, whence these equations taken together constitute a finite axiomatization of the equational theory of Boolean algebras.
- Wayne Snyder gave a generalization of both higher-order unification and E-unification, i . e . an algorithm to unify lambda-terms modulo an equational theory.
- F-coalgebras are dual to variety, so does the class of all F-coalgebras satisfying a given equational theory form a covariety, where the signature is given by F.
- In universal algebra and equational theory, the methods of term rewriting, congruence closure and theory is decidable or not depends whether the theory is variable-free or on other conditions.
- In his " Feasibly Constructive Proofs and the Propositional Calculus " paper published in 1975, he introduced the equational theory PV ( standing for Polynomial-time Verifiable ) to formalize the notion of proofs using only polynomial-time concepts.
- In this way we have translated the commuting diagrams of that category, as the equational theory of Boolean algebras, into the equational consequences of "'A1 "'as the logical representation of that particular composition law.
- The equational theory of the implication-free fragment of action algebras, those equations not containing ?! or ?!, can be shown to coincide with the equational theory of Kleene algebras, also known as the regular expression equations.
- The equational theory of the implication-free fragment of action algebras, those equations not containing ?! or ?!, can be shown to coincide with the equational theory of Kleene algebras, also known as the regular expression equations.
- Now Birkhoff's HSP theorem for varieties can be stated as, every class of models of the equational theory of a class " C " of algebras is the Homomorphic image of a Subalgebra of a variety of Boolean algebras.
- In this way when talking about different equational theories we can push the rules to one side as being independent of the particular theories, and confine attention to the axioms as the only part of the axiom system characterizing the particular equational theory at hand.
- In this way when talking about different equational theories we can push the rules to one side as being independent of the particular theories, and confine attention to the axioms as the only part of the axiom system characterizing the particular equational theory at hand.
- When the commutative diagrams of a category are interpreted as a typed equational theory whose objects are the types, a posetal category corresponds to an inconsistent theory understood as one satisfying the axiom " x " = " y " at all types.
- In 1998, Mitchell Wand showed that adding a fexpr device to lambda calculus & mdash; a device that suppresses rewriting of operands & mdash; produces a formal system with a trivial equational theory, rendering it impossible to make source-to-source optimizations without a whole-program analysis.
- A model of the equational theory of the algebra of " all " operations on { 0, 1 } of arity up to the cardinality of the model is called a complete atomic Boolean algebra, or " CABA " . ( In place of this awkward restriction on arity we could allow any arity, leading to a different awkwardness, that the signature would then be larger than any set, that is, a proper class.
- These different " equational theories " of types vary widely, two extreme cases being " structural type systems ", in which any two types that describe values with the same structure are equivalent, and " nominative type systems ", in which no two syntactically distinct type expressions denote the same type ( " i . e . ", types must have the same " name " in order to be equal ).
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