Question

(1) Give formal proofs of the following sequents, for any theory T and formulas φ, ψ,...

(1) Give formal proofs of the following sequents, for any theory T and formulas φ, ψ, θ. (a) T ∪ {ψ} |− φ → ψ

(b) |− φ ∧ T ↔ φ

(c) |− φ ∧ (ψ ∨ θ) ↔ (φ ∧ ψ) ∨ (φ ∧ θ)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Show that x(t) =c1cosωt+c2sinωt, (1) x(t) =Asin (ωt+φ), (2)   and x(t) =Bcos (ωt+ψ)   (3) are all...
Show that x(t) =c1cosωt+c2sinωt, (1) x(t) =Asin (ωt+φ), (2)   and x(t) =Bcos (ωt+ψ)   (3) are all solutions of the differential equation d2x(t)dt2+ω2x(t) = 0. Show that thethree solutions are identical. (Hint: Use the trigonometric identities sin (α+β) =sinαcosβ+ cosαsinβand cos (α+β) = cosαcosβ−sinαsinβto rewriteEqs. (2) and (3) in the form of Eq. (1). To get full marks, you need to show the connection between the three sets of parameters: (c1,c2), (A,φ), and (B,ψ).) From Quantum chemistry By McQuarrie
Quantum Mechanics What are the complex conjugates of the following wavefunctions? (a) Ψ = 4x 3...
Quantum Mechanics What are the complex conjugates of the following wavefunctions? (a) Ψ = 4x 3 (b) Ψ = 4 + 3i (c) Ψ = e − iE t ħ/h (d) Ψ(θ) = e iπθ (e) Ψ = i sin (3πx/ 2 )
Write electron-dot formulas for the following species. Show where the formal charges, if any, are located....
Write electron-dot formulas for the following species. Show where the formal charges, if any, are located. a. cyanide ion, CN- b. nitric acid, HONO2 c. dimethyl ether, CH3OCH3 d. ammonium ion, NH4+ e. nitrous acid, HONO f. carbon monoxide, CO g. boron trifluoride, BF3 h. hydrogen peroxide, H2O2 i. bicarbonate ion, HCO3-
For a linear oscillator (block on spring), x(t) = xm cos (ωt + φ) (1) v(t)...
For a linear oscillator (block on spring), x(t) = xm cos (ωt + φ) (1) v(t) = −ωxm sin (ωt + φ) (2) a(t) = −ω 2xm cos (ωt + φ). (3) (a) Draw and explain in words how you would use a circle diagram to connect x(t), v(t), and the phase (ωt + φ). (b) What does ω represent? How is ω different for a linear oscillator than for a rolling or rotating object?
Give direct and indirect proofs of: (a) a → b, c → b, d → (a...
Give direct and indirect proofs of: (a) a → b, c → b, d → (a ∨ c), d ⇒ b. (b) (p → q) ∧ (r → s),(q → t) ∧ (s → u), ¬(t ∧ u), p → r ⇒ ¬p. (c) p → (q → r), ¬s\/p, q ⇒ s → r. (d) p → q, q → r, ¬(p ∧ r), p ∨ r ⇒ r. (e) ¬q, p → q, p ∨ t ⇒ t...
* Consider the transformations T1=‘reflection across the x-axis’ and T2=‘reflection across the line y = x’....
* Consider the transformations T1=‘reflection across the x-axis’ and T2=‘reflection across the line y = x’. (a) Find the matrices A1 and A2 corresponding to T1 and T2, respectively. (b) Show that (A1) 2 = I, and give a geometrical interpretation of this. (c) Use matrix multiplication to find the geometric effect of T1 followed by T2, showing all your reasoning. (d) The product T (θ)T (φ) of any two reflections T (θ) and T (φ) with angles θ and...
One of the core principles guiding any biomedical study is that a participant must give formal...
One of the core principles guiding any biomedical study is that a participant must give formal consent to participate in the study. Is obtaining participant’s consent a sufficient condition for human subject protection in research? A. Yes B. No Explain your answer
Discrete Mathematics ***Make sure to give proofs in PARAGRAPH form using COMPLETE sentences. Use correct notation...
Discrete Mathematics ***Make sure to give proofs in PARAGRAPH form using COMPLETE sentences. Use correct notation and terminology *** 2. Prove that if a, b, c are integers, c divides a + b, and gcd(a, b) = 1, then gcd(a, c) = 1.
Design a recursive algorithm with proofs of the following: Richest Heritage: Input: A binary tree T...
Design a recursive algorithm with proofs of the following: Richest Heritage: Input: A binary tree T in which each node x contains a field worth[x], which is a (positive, zero, or negative) monetary value expressed as a real number. Define (monetary) heritageof a node x to be the total worth of ancestors of x minus the total worth of proper descendants of x. Output: A node x in T with maximum heritage Note: other than the field worthand left/right child...
Regression formulas What are the formulas for calculating 1. R-Squared 2. The standard error 3. T-test...
Regression formulas What are the formulas for calculating 1. R-Squared 2. The standard error 3. T-test on slope coefficient by 5% 4. Basis for hypothesis testing(we do we assume Ho=0 and not 1 or any other number?) 5. Formula for finding the p-value for the slope coefficient
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • 3. A fair coin is flipped 4 times. (a) What is the probability that the third...
    asked 28 minutes ago
  • An engineer wants to know if the mean strengths of three different concrete mix designs differ...
    asked 28 minutes ago
  • The National Football League (NFL) records a variety of performance data for individuals and teams. To...
    asked 38 minutes ago
  • Associated Strategies obtained significant influence over Cece Corporation by buying 30% of Cece’s 50,000 outstanding shares...
    asked 39 minutes ago
  • A survey of 25 randomly selected customers found the ages shown​ (in years). The mean is...
    asked 43 minutes ago
  • (1)         For this discussion, I would like for you to identify and describe two out of...
    asked 44 minutes ago
  • Determine the open intervals on which the graph is concave upward or concave downward. (Enter your...
    asked 45 minutes ago
  • 9- What is the most widely used technique for determining the best combination of debt and...
    asked 45 minutes ago
  • Katsumoto Inc. (Katsumoto) manufactures and sells collectible swords. Katsumoto currently operates at 80% of its 15,000-unit...
    asked 47 minutes ago
  • A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size...
    asked 54 minutes ago
  • Discuss why the longer-term generation of positive free cash flow is important to the providers of...
    asked 59 minutes ago
  • The three main areas for memory in the brain involve the Hippocampus, the Basal Ganglia, and...
    asked 1 hour ago