Quantitative Temporal Logics: PSPACE and below - FB3
... is satisfiable. Note that the length of the latter formula is polynomial in the length of ϕ. Second, for any interval I of the form (0, n), (0, n], or [0, n) with n > 1, ♦IF ϕ is [0,n−1] equivalent to ♦JF ♦F ϕ, where J is obtained from I by replacing the upper interval bound n by 1. In the following ...
... is satisfiable. Note that the length of the latter formula is polynomial in the length of ϕ. Second, for any interval I of the form (0, n), (0, n], or [0, n) with n > 1, ♦IF ϕ is [0,n−1] equivalent to ♦JF ♦F ϕ, where J is obtained from I by replacing the upper interval bound n by 1. In the following ...
Factors from trees - Research Online
... Definition 2.1. Given a group F acting on a measure space Q, we define the full group, [F], of F by [F] = {T E Aut(Q) Tw E Fw for almost every w E Q}. The set [F]o of measure preserving maps in [F] is then given by [F]o = {T E [F] :Tov = v}. Definition 2.2. Let G be a countable group of automorphism ...
... Definition 2.1. Given a group F acting on a measure space Q, we define the full group, [F], of F by [F] = {T E Aut(Q) Tw E Fw for almost every w E Q}. The set [F]o of measure preserving maps in [F] is then given by [F]o = {T E [F] :Tov = v}. Definition 2.2. Let G be a countable group of automorphism ...
31 Semisimple Modules and the radical
... Theorem 31.7. A is a s-s algebra iff rA = 0 (i.e., iff it is a s-s A-module). Proof. A s-s algebra implies all modules s-s implies rA = 0. Conversely, suppose that A is a s-s module. Then any module M is a quotient of An and thus s-s. Theorem 31.8. rA is a two-sided ideal. Proof. By definition, rA i ...
... Theorem 31.7. A is a s-s algebra iff rA = 0 (i.e., iff it is a s-s A-module). Proof. A s-s algebra implies all modules s-s implies rA = 0. Conversely, suppose that A is a s-s module. Then any module M is a quotient of An and thus s-s. Theorem 31.8. rA is a two-sided ideal. Proof. By definition, rA i ...
Formal systems of fuzzy logic and their fragments∗
... by showing that exactly 57 of these logics are mutually distinct. For each of these logics we can find its corresponding class of algebras. It can be easily shown that all these classes are quasivarieties. This entails an interesting problem of characterizing which of these classes are in fact varie ...
... by showing that exactly 57 of these logics are mutually distinct. For each of these logics we can find its corresponding class of algebras. It can be easily shown that all these classes are quasivarieties. This entails an interesting problem of characterizing which of these classes are in fact varie ...
![arXiv:1003.5939v1 [math.CO] 30 Mar 2010](http://s1.studyres.com/store/data/016290525_1-37241e0159a202e5bf035fd4e5a48270-300x300.png)
Orthogonal bases are Schauder bases and a characterization
... for every x e A and « E N . Since / is continuous and nonzero, we have f{ek) Φ 0 for some k eTS. It follows that f = e£. 2. Locally m-convex algebras with orthogonal bases. Let A be a complete locally m-convex algebra with an orthogonal basis and an identity. Husain and Watson [7] showed that A is t ...
... for every x e A and « E N . Since / is continuous and nonzero, we have f{ek) Φ 0 for some k eTS. It follows that f = e£. 2. Locally m-convex algebras with orthogonal bases. Let A be a complete locally m-convex algebra with an orthogonal basis and an identity. Husain and Watson [7] showed that A is t ...
Verification Conditions Are Code - Electronics and Computer Science
... This does not invalidate the argument above, however, since C (Q;R) B can also be derived from C (Q;R) B and B ⇒ B. Also note that this property is very familiar from the study of program semantics, for example in the theory of predicate transformers, where this result would follow directly from t ...
... This does not invalidate the argument above, however, since C (Q;R) B can also be derived from C (Q;R) B and B ⇒ B. Also note that this property is very familiar from the study of program semantics, for example in the theory of predicate transformers, where this result would follow directly from t ...