Constraint Logic Programming with Hereditary Harrop Formula
... σ = [t1 /x1 , . . . , tn /xn ], using proper renaming of the variables bound in C to avoid capturing free variables from the terms ti , 1 ≤ i ≤ n. Γσ represents the application of σ to every constraint of the set Γ. In the sequel, the notation F σ will also be used for other formulas F , not necessa ...
... σ = [t1 /x1 , . . . , tn /xn ], using proper renaming of the variables bound in C to avoid capturing free variables from the terms ti , 1 ≤ i ≤ n. Γσ represents the application of σ to every constraint of the set Γ. In the sequel, the notation F σ will also be used for other formulas F , not necessa ...
Algebraic Set Theory (London Mathematical Society Lecture Note
... interesting examples of such universes C which are quite different from the usual universe of sets. Thus, C can be a universe of sheaves (i.e., sets which vary continuously over a fixed topological space of parameters), or an "effective" universe of recursive sets. More generally, C can be any eleme ...
... interesting examples of such universes C which are quite different from the usual universe of sets. Thus, C can be a universe of sheaves (i.e., sets which vary continuously over a fixed topological space of parameters), or an "effective" universe of recursive sets. More generally, C can be any eleme ...
EXTREMAL EFFECTIVE DIVISORS OF BRILL
... Nevertheless, the main result of this paper shows that the above question has a negative answer. Theorem 1.1. For every n ≥ 6, there exist extremal effective divisors in M1,n that are different from the Da ’s. See Theorems 3.3, 4.4 and 5.4 for a more precise statement. Let us explain our method. For ...
... Nevertheless, the main result of this paper shows that the above question has a negative answer. Theorem 1.1. For every n ≥ 6, there exist extremal effective divisors in M1,n that are different from the Da ’s. See Theorems 3.3, 4.4 and 5.4 for a more precise statement. Let us explain our method. For ...
Reductio ad Absurdum Argumentation in Normal Logic
... Now, because the three friends need to save money, they must minimize the number of places they will go to on vacation. So they start by assuming they are going nowhere — the cheapest solution. That is, they assume {not mountain, not beach, not travel} as true. According to the program above, with t ...
... Now, because the three friends need to save money, they must minimize the number of places they will go to on vacation. So they start by assuming they are going nowhere — the cheapest solution. That is, they assume {not mountain, not beach, not travel} as true. According to the program above, with t ...
AN INTRODUCTION TO KK-THEORY These are the lecture notes of
... (4) σL(E,F ) (K(E, F )) ⊂ K(E, F ) with σL(E,F ) (θf,e ) = θσF (f ),σE (e) for all e ∈ E and f ∈ F . COROLLARY 54. If E is a graded Hilbert B-module, then L(E) and K(E) are graded C ∗ -algebras. DEFINITION 55. The elements of L(E, F )0 are called even, written L(E, F )even , the elements of L(E, F ) ...
... (4) σL(E,F ) (K(E, F )) ⊂ K(E, F ) with σL(E,F ) (θf,e ) = θσF (f ),σE (e) for all e ∈ E and f ∈ F . COROLLARY 54. If E is a graded Hilbert B-module, then L(E) and K(E) are graded C ∗ -algebras. DEFINITION 55. The elements of L(E, F )0 are called even, written L(E, F )even , the elements of L(E, F ) ...
Homomorphisms and Topological Semigroups.
... tive topological semigroups and an extension of the theorem from groups which states that continuous homomorphisms are open mappings under suitable topological conditions. The second section is on the character semigroup (continuous complex valued homomorphisms) of compact topo logical semigroups. ...
... tive topological semigroups and an extension of the theorem from groups which states that continuous homomorphisms are open mappings under suitable topological conditions. The second section is on the character semigroup (continuous complex valued homomorphisms) of compact topo logical semigroups. ...